A Dislocation Green’s Function for the Analysis of Multiple Coplanar Cracks or Cracks With Nonuniform Crack Fronts

[+] Author and Article Information
M. T. Hanson

Department of Engineering Mechanics, University of Kentucky, Lexington, KY 40506-0046

J. Appl. Mech 57(3), 589-595 (Sep 01, 1990) (7 pages) doi:10.1115/1.2897063 History: Received May 08, 1989; Revised August 04, 1989; Online March 31, 2008


This analysis considers the interaction between a penny-shaped crack or a circular external crack and a mode I “opening” point dislocation. The dislocation is taken to lie on the plane of the crack. Symmetry considerations allow the reduction to a mixed boundary value problem for a half space which is solved by well-known methods from potential theory. Closed-form expressions are obtained for the crack opening displacement, stress on the symmetry plane, and the mode I stress intensity factor around the internal or external crack. The use of the present solution for the accurate numerical treatment of cracks with large amplitude variations in the crack front curvature as well as cases of multiple coplanar cracks is outlined.

Copyright © 1990 by The American Society of Mechanical Engineers
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